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3322002002004 = 22327371153309007
BaseRepresentation
bin110000010101110110101…
…111111101000001010100
3102202120200000211210220100
4300111312233331001110
5413411430003031004
611022035011534100
7462002210054040
oct60256657750124
912676600753810
103322002002004
111070942586804
124579ab8ba330
131b1356a31aba
14b6b0017b020
155b62d7c9739
hex30576bfd054

3322002002004 has 144 divisors (see below), whose sum is σ = 9864850498048. Its totient is φ = 922686971904.

The previous prime is 3322002001979. The next prime is 3322002002063. The reversal of 3322002002004 is 4002002002233.

It is a super-2 number, since 2×33220020020042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10596069 + ... + 10905075.

Almost surely, 23322002002004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322002002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932425249024).

3322002002004 is an abundant number, since it is smaller than the sum of its proper divisors (6542848496044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3322002002004 is a wasteful number, since it uses less digits than its factorization.

3322002002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310214 (or 310209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 3322002002004 its reverse (4002002002233), we get a palindrome (7324004004237).

The spelling of 3322002002004 in words is "three trillion, three hundred twenty-two billion, two million, two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1153 1332 1554 2306 2331 3108 3459 4612 4662 6918 8071 9324 10377 13836 16142 20754 24213 32284 41508 42661 48426 72639 85322 96852 127983 145278 170644 255966 290556 298627 309007 383949 511932 597254 618014 767898 895881 927021 1194508 1236028 1535796 1791762 1854042 2163049 2687643 2781063 3583524 3708084 4326098 5375286 5562126 6489147 8652196 10750572 11124252 11433259 12978294 19467441 22866518 25956588 34299777 38934882 45733036 68599554 77869764 80032813 102899331 137199108 160065626 205798662 240098439 320131252 356285071 411597324 480196878 712570142 720295317 960393756 1068855213 1425140284 1440590634 2137710426 2493995497 2881181268 3206565639 4275420852 4987990994 6413131278 7481986491 9975981988 12826262556 13182547627 14963972982 22445959473 26365095254 29927945964 39547642881 44891918946 52730190508 79095285762 89783837892 92277833389 118642928643 158190571524 184555666778 237285857286 276833500167 369111333556 474571714572 553667000334 830500500501 1107334000668 1661001001002 3322002002004